Domain of Attraction

The set of all points attracted to Domain1.jpg is called the domain of attraction of Domain2.jpg , denoted

Domain3.jpg

Note that, if Domain4.jpg is compact, it is always true that Domain5.jpg . This condition is imposed in the noncompact case to avoid including points which escape to infinity.


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Copyright (c) 1998 by Richard McGehee, all rights reserved.
Last modified: July 31, 1998.